Volume 85, Number 6, March 2009
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||07 April 2009|
Modularity produces small-world networks with dynamical time-scale separation
The Institute of Mathematical Sciences, C.I.T. Campus - Taramani, Chennai, 600 113 India
Accepted: 5 March 2009
The functional consequences of local and global dynamics can be very different in natural systems. Many such systems have a network description that exhibits strong local clustering as well as high communication efficiency, often termed as small-world networks (SWN). We show that modular organization in otherwise random networks generically give rise to SWN, with a characteristic time-scale separation between fast intra-modular and slow inter-modular processes. The universality of this dynamical signature, that distinguishes modular networks from earlier models of SWN, is demonstrated by processes as different as spin-ordering, synchronization and diffusion.
PACS: 89.75.Hc – Networks and genealogical trees / 05.45.-a – Nonlinear dynamics and chaos / 89.75.Fb – Structures and organization in complex systems
© EPLA, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.